Maths Olympiad Previous Year Paper - 1

``` Page 1

1. Select the odd one out.
A. 81
B. 36
C. 47
D. 16
2. Which of the following Venn diagrams best represents
the relationship amongst, “Fiction books, Books and
Non-fiction books”?
A.
B.
C.
D.
3. In a row of 60 students, Amit is at 30
th
position from
the left end. What is his position from the right end?
A. 32
nd
B. 31
st
C. 29
th
D. 33
rd
4. Two positions of a dice are shown below. Which
number will be on the face opposite to the face having
number 4?
5
2
1
1
3
6
A. 5
B. 1
C. 2
D. 3
5. Which of the following options satisfies the same
conditions of placement of dots as in the given figure?
A.
B.
C.
D.
6. A square transparent sheet with a pattern and a dotted
line on it is given. Select a figure from the options as
to how the pattern would appear when the transparent
sheet is folded along the dotted line.
A.
B.
C.
D.
7. Find the missing number, if same rule is followed in
all the three figures.
5 6 33 8 5 39 7 5 ?
A. 30
B. 36
C. 40
D. 45
LOGICAL REASONING
Page 2

1. Select the odd one out.
A. 81
B. 36
C. 47
D. 16
2. Which of the following Venn diagrams best represents
the relationship amongst, “Fiction books, Books and
Non-fiction books”?
A.
B.
C.
D.
3. In a row of 60 students, Amit is at 30
th
position from
the left end. What is his position from the right end?
A. 32
nd
B. 31
st
C. 29
th
D. 33
rd
4. Two positions of a dice are shown below. Which
number will be on the face opposite to the face having
number 4?
5
2
1
1
3
6
A. 5
B. 1
C. 2
D. 3
5. Which of the following options satisfies the same
conditions of placement of dots as in the given figure?
A.
B.
C.
D.
6. A square transparent sheet with a pattern and a dotted
line on it is given. Select a figure from the options as
to how the pattern would appear when the transparent
sheet is folded along the dotted line.
A.
B.
C.
D.
7. Find the missing number, if same rule is followed in
all the three figures.
5 6 33 8 5 39 7 5 ?
A. 30
B. 36
C. 40
D. 45
LOGICAL REASONING
8. There is a certain relationship between the pair of
figures on the either side of ::. Identify the relationship
of the left pair and find the missing figure.
?
A.
B.
C.
D.
9. In a certain code language, if GREAT is written as
JTFCW, then how will SIGHT be written in the same
code language?
A. VLJKW
B. TJHIU
C. VKHJW
D. RHHGS
10. Find the minimum number of straight lines required
to draw the given figure.
A. 7
B. 8
C. 9
D. 10
11. Select the correct water image of the given combination
of letters and numbers.
MaThs2022
A.
B.
C.
D.
12. Select a figure from the options which is exactly
embedded in the given figure as one of its parts.
A.
B.
C.
D.
13. If ‘L’ denotes ‘×’, ‘M’ denotes ‘÷’, ‘N’ denotes ‘–’
and ‘Q’ denotes ‘+’, then find the value of 85 M 17
L 4 Q 18 N 5.
A. 25
B. 28
C. 30
D. 33
14. How many such pairs of letters are there in the word
CREATOR each of which has same number of letters
between them as in the English alphabets?
A. Two
B. Three
C. Four
D. None
15. Pointing to a girl in the photograph, Arun said, “She is
the granddaughter of the elder brother of my father.”
How is that girl related to Arun?
A. Sister
B. Cousin
C. Niece
D. Mother
MATHEMATICAL REASONING
16. Find the number of matchsticks that will be used in
pattern 32.
Pattern 1 Pattern 2 Pattern 3
A. 145
B. 224
C. 128
D. 212
Page 3

1. Select the odd one out.
A. 81
B. 36
C. 47
D. 16
2. Which of the following Venn diagrams best represents
the relationship amongst, “Fiction books, Books and
Non-fiction books”?
A.
B.
C.
D.
3. In a row of 60 students, Amit is at 30
th
position from
the left end. What is his position from the right end?
A. 32
nd
B. 31
st
C. 29
th
D. 33
rd
4. Two positions of a dice are shown below. Which
number will be on the face opposite to the face having
number 4?
5
2
1
1
3
6
A. 5
B. 1
C. 2
D. 3
5. Which of the following options satisfies the same
conditions of placement of dots as in the given figure?
A.
B.
C.
D.
6. A square transparent sheet with a pattern and a dotted
line on it is given. Select a figure from the options as
to how the pattern would appear when the transparent
sheet is folded along the dotted line.
A.
B.
C.
D.
7. Find the missing number, if same rule is followed in
all the three figures.
5 6 33 8 5 39 7 5 ?
A. 30
B. 36
C. 40
D. 45
LOGICAL REASONING
8. There is a certain relationship between the pair of
figures on the either side of ::. Identify the relationship
of the left pair and find the missing figure.
?
A.
B.
C.
D.
9. In a certain code language, if GREAT is written as
JTFCW, then how will SIGHT be written in the same
code language?
A. VLJKW
B. TJHIU
C. VKHJW
D. RHHGS
10. Find the minimum number of straight lines required
to draw the given figure.
A. 7
B. 8
C. 9
D. 10
11. Select the correct water image of the given combination
of letters and numbers.
MaThs2022
A.
B.
C.
D.
12. Select a figure from the options which is exactly
embedded in the given figure as one of its parts.
A.
B.
C.
D.
13. If ‘L’ denotes ‘×’, ‘M’ denotes ‘÷’, ‘N’ denotes ‘–’
and ‘Q’ denotes ‘+’, then find the value of 85 M 17
L 4 Q 18 N 5.
A. 25
B. 28
C. 30
D. 33
14. How many such pairs of letters are there in the word
CREATOR each of which has same number of letters
between them as in the English alphabets?
A. Two
B. Three
C. Four
D. None
15. Pointing to a girl in the photograph, Arun said, “She is
the granddaughter of the elder brother of my father.”
How is that girl related to Arun?
A. Sister
B. Cousin
C. Niece
D. Mother
MATHEMATICAL REASONING
16. Find the number of matchsticks that will be used in
pattern 32.
Pattern 1 Pattern 2 Pattern 3
A. 145
B. 224
C. 128
D. 212
17. A figure is formed by putting two squares one on the
other as shown in the figure. If the length of each side
of the two squares is 8 cm, then the perimeter of the
figure formed is _____.
A. 56 cm
B. 64 cm
C. 32 cm
D. 48 cm
18. According to census 2011, the population of India
is 1,210,193,422. Which of the following options
will represent this number in International System
of Numeration?
A. One hundred twenty one crore one lakh ninety
three thousand four hundred twenty two
B. One billion two hundred ten million one hundred
ninety three thousand four hundred twenty two
C. Twelve billion ten million one hundred ninety
three thousand four hundred twenty two
D. One hundred twenty one crore nineteen lakh
three thousand four hundred twenty two
19. What is to be subtracted from 67.74 to get 24.48?
A. 33.46
B. 38.46
C. 33.26
D. 43.26
20. What is the sum of the greatest and the smallest
5-digit number that can be formed from the digits 0,
7, 5, 2 and 1 (use each digit only once)?
A. 58,467
B. 85,467
C. 76,467
D. 65,467
21. Which of the following shows the maximum rise in
temperature?
A. 0°C to 10°C
B. – 4°C to 8°C
C. –15°C to –8°C
D. –7°C to 1°C
22. Which of the following pair of numbers are
co-prime?
A. 39, 91
B. 161, 192
C. 385, 462
D. 189, 243
23. What least value should be given to * so that the
number 653*47 is divisible by 11?
A. 9
B. 6
C. 7
D. 1
24. What type of angle will be formed between the hour
hand and the minute hand of a clock at 12:40?
1
2
3
4
5
6
7
8
9
10
11
12
A. Acute angle
B. Obtuse angle
C. Right angle
D. Straight angle
25. Find the number of pairs of parallel lines in the given
figure.
l
m
c
b
a
A. 1
B. 2
C. 3
D. 4
26. Find the value of 2a + 5b, if a : 3 = 72 : 27 = 40 : b.
A. 20
B. 75
C. 91
D. None of these
27. Which of the following is the simplest form of
161
299
?
A.
7
13
B.
3
11
C.
11
17
D.
17
23
Page 4

1. Select the odd one out.
A. 81
B. 36
C. 47
D. 16
2. Which of the following Venn diagrams best represents
the relationship amongst, “Fiction books, Books and
Non-fiction books”?
A.
B.
C.
D.
3. In a row of 60 students, Amit is at 30
th
position from
the left end. What is his position from the right end?
A. 32
nd
B. 31
st
C. 29
th
D. 33
rd
4. Two positions of a dice are shown below. Which
number will be on the face opposite to the face having
number 4?
5
2
1
1
3
6
A. 5
B. 1
C. 2
D. 3
5. Which of the following options satisfies the same
conditions of placement of dots as in the given figure?
A.
B.
C.
D.
6. A square transparent sheet with a pattern and a dotted
line on it is given. Select a figure from the options as
to how the pattern would appear when the transparent
sheet is folded along the dotted line.
A.
B.
C.
D.
7. Find the missing number, if same rule is followed in
all the three figures.
5 6 33 8 5 39 7 5 ?
A. 30
B. 36
C. 40
D. 45
LOGICAL REASONING
8. There is a certain relationship between the pair of
figures on the either side of ::. Identify the relationship
of the left pair and find the missing figure.
?
A.
B.
C.
D.
9. In a certain code language, if GREAT is written as
JTFCW, then how will SIGHT be written in the same
code language?
A. VLJKW
B. TJHIU
C. VKHJW
D. RHHGS
10. Find the minimum number of straight lines required
to draw the given figure.
A. 7
B. 8
C. 9
D. 10
11. Select the correct water image of the given combination
of letters and numbers.
MaThs2022
A.
B.
C.
D.
12. Select a figure from the options which is exactly
embedded in the given figure as one of its parts.
A.
B.
C.
D.
13. If ‘L’ denotes ‘×’, ‘M’ denotes ‘÷’, ‘N’ denotes ‘–’
and ‘Q’ denotes ‘+’, then find the value of 85 M 17
L 4 Q 18 N 5.
A. 25
B. 28
C. 30
D. 33
14. How many such pairs of letters are there in the word
CREATOR each of which has same number of letters
between them as in the English alphabets?
A. Two
B. Three
C. Four
D. None
15. Pointing to a girl in the photograph, Arun said, “She is
the granddaughter of the elder brother of my father.”
How is that girl related to Arun?
A. Sister
B. Cousin
C. Niece
D. Mother
MATHEMATICAL REASONING
16. Find the number of matchsticks that will be used in
pattern 32.
Pattern 1 Pattern 2 Pattern 3
A. 145
B. 224
C. 128
D. 212
17. A figure is formed by putting two squares one on the
other as shown in the figure. If the length of each side
of the two squares is 8 cm, then the perimeter of the
figure formed is _____.
A. 56 cm
B. 64 cm
C. 32 cm
D. 48 cm
18. According to census 2011, the population of India
is 1,210,193,422. Which of the following options
will represent this number in International System
of Numeration?
A. One hundred twenty one crore one lakh ninety
three thousand four hundred twenty two
B. One billion two hundred ten million one hundred
ninety three thousand four hundred twenty two
C. Twelve billion ten million one hundred ninety
three thousand four hundred twenty two
D. One hundred twenty one crore nineteen lakh
three thousand four hundred twenty two
19. What is to be subtracted from 67.74 to get 24.48?
A. 33.46
B. 38.46
C. 33.26
D. 43.26
20. What is the sum of the greatest and the smallest
5-digit number that can be formed from the digits 0,
7, 5, 2 and 1 (use each digit only once)?
A. 58,467
B. 85,467
C. 76,467
D. 65,467
21. Which of the following shows the maximum rise in
temperature?
A. 0°C to 10°C
B. – 4°C to 8°C
C. –15°C to –8°C
D. –7°C to 1°C
22. Which of the following pair of numbers are
co-prime?
A. 39, 91
B. 161, 192
C. 385, 462
D. 189, 243
23. What least value should be given to * so that the
number 653*47 is divisible by 11?
A. 9
B. 6
C. 7
D. 1
24. What type of angle will be formed between the hour
hand and the minute hand of a clock at 12:40?
1
2
3
4
5
6
7
8
9
10
11
12
A. Acute angle
B. Obtuse angle
C. Right angle
D. Straight angle
25. Find the number of pairs of parallel lines in the given
figure.
l
m
c
b
a
A. 1
B. 2
C. 3
D. 4
26. Find the value of 2a + 5b, if a : 3 = 72 : 27 = 40 : b.
A. 20
B. 75
C. 91
D. None of these
27. Which of the following is the simplest form of
161
299
?
A.
7
13
B.
3
11
C.
11
17
D.
17
23
28. Which of the following set of whole numbers will
make the given number sentence true?
________ × ________ + ________ = 49
A. 7, 8, 7
B. 5, 8, 9
C. 7, 8, 10
D. 9, 8, 5
29. Find the value of DXXXIX + CCCLXVII – DCLXXXI.
A. CCCXXV
B. DCLVI
C. DCCXI
D. CCXXV
30. The given bar graph shows the number of wickets
taken by a player X from the year 2016 to 2021. Study
the graph carefully and answer the given question.
20
0
Number of wickets taken
Years
2016 2017 2018 2019 2020 2021
40
60
80
100
120
Find the ratio of number of wickets taken by the
player in years 2017 and 2021 together to 2016 and
2019 together.
A. 3 : 5
B. 4 : 7
C. 7 : 9
D. 5 : 9
31. How many right angles are formed when hour hand
of a clock moves from
(a) 2 to 8 (b) 6 to 9?
(a) (b)
A.  1  1
B.  1  2
C.  2  2
D.  2  1
32. If x and y are odd numbers, then which of the following
is even?
A. x + y
B. x + y + 1
C. xy
D. xy + 2
33. Which of the following figures has exactly three lines
of symmetry?
A.
B.
C.
D. None of these
34. What is the difference between the shaded fractions
of the given figures?
Fig. (ii) Fig. (i)
A.
1
24
B.
5
12
C.
5
24
D.
1
12
35. Which of the following are not in proportion?
A. 28, 42, 30, 45
B. 15, 21, 25, 35
C. 21, 35, 32, 48
D. 24, 40, 12, 20
EVERYDAY MATHEMATICS
36. Ansh multiplied 160 by 89 instead of multiplying by
79. How much was his answer greater than the correct
A. 1600
B. 16000
C. 10060
D. 10640
Page 5

1. Select the odd one out.
A. 81
B. 36
C. 47
D. 16
2. Which of the following Venn diagrams best represents
the relationship amongst, “Fiction books, Books and
Non-fiction books”?
A.
B.
C.
D.
3. In a row of 60 students, Amit is at 30
th
position from
the left end. What is his position from the right end?
A. 32
nd
B. 31
st
C. 29
th
D. 33
rd
4. Two positions of a dice are shown below. Which
number will be on the face opposite to the face having
number 4?
5
2
1
1
3
6
A. 5
B. 1
C. 2
D. 3
5. Which of the following options satisfies the same
conditions of placement of dots as in the given figure?
A.
B.
C.
D.
6. A square transparent sheet with a pattern and a dotted
line on it is given. Select a figure from the options as
to how the pattern would appear when the transparent
sheet is folded along the dotted line.
A.
B.
C.
D.
7. Find the missing number, if same rule is followed in
all the three figures.
5 6 33 8 5 39 7 5 ?
A. 30
B. 36
C. 40
D. 45
LOGICAL REASONING
8. There is a certain relationship between the pair of
figures on the either side of ::. Identify the relationship
of the left pair and find the missing figure.
?
A.
B.
C.
D.
9. In a certain code language, if GREAT is written as
JTFCW, then how will SIGHT be written in the same
code language?
A. VLJKW
B. TJHIU
C. VKHJW
D. RHHGS
10. Find the minimum number of straight lines required
to draw the given figure.
A. 7
B. 8
C. 9
D. 10
11. Select the correct water image of the given combination
of letters and numbers.
MaThs2022
A.
B.
C.
D.
12. Select a figure from the options which is exactly
embedded in the given figure as one of its parts.
A.
B.
C.
D.
13. If ‘L’ denotes ‘×’, ‘M’ denotes ‘÷’, ‘N’ denotes ‘–’
and ‘Q’ denotes ‘+’, then find the value of 85 M 17
L 4 Q 18 N 5.
A. 25
B. 28
C. 30
D. 33
14. How many such pairs of letters are there in the word
CREATOR each of which has same number of letters
between them as in the English alphabets?
A. Two
B. Three
C. Four
D. None
15. Pointing to a girl in the photograph, Arun said, “She is
the granddaughter of the elder brother of my father.”
How is that girl related to Arun?
A. Sister
B. Cousin
C. Niece
D. Mother
MATHEMATICAL REASONING
16. Find the number of matchsticks that will be used in
pattern 32.
Pattern 1 Pattern 2 Pattern 3
A. 145
B. 224
C. 128
D. 212
17. A figure is formed by putting two squares one on the
other as shown in the figure. If the length of each side
of the two squares is 8 cm, then the perimeter of the
figure formed is _____.
A. 56 cm
B. 64 cm
C. 32 cm
D. 48 cm
18. According to census 2011, the population of India
is 1,210,193,422. Which of the following options
will represent this number in International System
of Numeration?
A. One hundred twenty one crore one lakh ninety
three thousand four hundred twenty two
B. One billion two hundred ten million one hundred
ninety three thousand four hundred twenty two
C. Twelve billion ten million one hundred ninety
three thousand four hundred twenty two
D. One hundred twenty one crore nineteen lakh
three thousand four hundred twenty two
19. What is to be subtracted from 67.74 to get 24.48?
A. 33.46
B. 38.46
C. 33.26
D. 43.26
20. What is the sum of the greatest and the smallest
5-digit number that can be formed from the digits 0,
7, 5, 2 and 1 (use each digit only once)?
A. 58,467
B. 85,467
C. 76,467
D. 65,467
21. Which of the following shows the maximum rise in
temperature?
A. 0°C to 10°C
B. – 4°C to 8°C
C. –15°C to –8°C
D. –7°C to 1°C
22. Which of the following pair of numbers are
co-prime?
A. 39, 91
B. 161, 192
C. 385, 462
D. 189, 243
23. What least value should be given to * so that the
number 653*47 is divisible by 11?
A. 9
B. 6
C. 7
D. 1
24. What type of angle will be formed between the hour
hand and the minute hand of a clock at 12:40?
1
2
3
4
5
6
7
8
9
10
11
12
A. Acute angle
B. Obtuse angle
C. Right angle
D. Straight angle
25. Find the number of pairs of parallel lines in the given
figure.
l
m
c
b
a
A. 1
B. 2
C. 3
D. 4
26. Find the value of 2a + 5b, if a : 3 = 72 : 27 = 40 : b.
A. 20
B. 75
C. 91
D. None of these
27. Which of the following is the simplest form of
161
299
?
A.
7
13
B.
3
11
C.
11
17
D.
17
23
28. Which of the following set of whole numbers will
make the given number sentence true?
________ × ________ + ________ = 49
A. 7, 8, 7
B. 5, 8, 9
C. 7, 8, 10
D. 9, 8, 5
29. Find the value of DXXXIX + CCCLXVII – DCLXXXI.
A. CCCXXV
B. DCLVI
C. DCCXI
D. CCXXV
30. The given bar graph shows the number of wickets
taken by a player X from the year 2016 to 2021. Study
the graph carefully and answer the given question.
20
0
Number of wickets taken
Years
2016 2017 2018 2019 2020 2021
40
60
80
100
120
Find the ratio of number of wickets taken by the
player in years 2017 and 2021 together to 2016 and
2019 together.
A. 3 : 5
B. 4 : 7
C. 7 : 9
D. 5 : 9
31. How many right angles are formed when hour hand
of a clock moves from
(a) 2 to 8 (b) 6 to 9?
(a) (b)
A.  1  1
B.  1  2
C.  2  2
D.  2  1
32. If x and y are odd numbers, then which of the following
is even?
A. x + y
B. x + y + 1
C. xy
D. xy + 2
33. Which of the following figures has exactly three lines
of symmetry?
A.
B.
C.
D. None of these
34. What is the difference between the shaded fractions
of the given figures?
Fig. (ii) Fig. (i)
A.
1
24
B.
5
12
C.
5
24
D.
1
12
35. Which of the following are not in proportion?
A. 28, 42, 30, 45
B. 15, 21, 25, 35
C. 21, 35, 32, 48
D. 24, 40, 12, 20
EVERYDAY MATHEMATICS
36. Ansh multiplied 160 by 89 instead of multiplying by
79. How much was his answer greater than the correct
A. 1600
B. 16000
C. 10060
D. 10640
ACHIEVERS SECTION
37. Rehan bought a notebook of ` 14
1
3
, a geometry box
of `
57
1
2
and a Mathematics book of ` 71
2
3
. How
much money should he pay to the shopkeeper?
A. ` 123
1
2
B. ` 143
1
2
C. `
123
1
6
D. ` 143
1
6
38. Arun wants to donate `4200 between two persons X
and Y in the ratio of 5:7. Find the amount of money
that X and Y will get respectively.
A. ` 2450, ` 1750
B. ` 1750, ` 2450
C. ` 1950, ` 2300
D. ` 2300, ` 1950
39. Amisha runs 7 km towards South, then from there
she came back in the opposite direction and runs
9 km. If South represents negative integer and North
represents positive integer, then find her position
from initial point.
A. 16 km
B. –2 km
C. –16 km
D. 2 km
40. A rectangular mat is laid on the square floor of side 26 m.
The length of the rectangular mat is 18 m and its
breadth is two-third of its length. Find the area of
floor where mat is not laid.
A. 460 m
2
B. 270 m
2
C. 410 m
2
D. None of these
41. Sushant slept at 10 p.m. and woke up at 7 a.m. How
many right angles did hour hand of clock make during
this period of time?
A. 2
B. 3
C. 1
D. None of these
42. A container X has 24.25 litres of water and another
container Y has 17.75 litres of water. Both containers X
and Y together are enough to fill one-fifth of a tank Z.
What is the total capacity of the tank Z?
A. 110 L
B. 160 L
C. 210 L
D. 260 L
43. In a university, there are three options for students to
choose their streams i.e., Science, Commerce and Arts.
In a particular session,1,54,676 students were enrolled
in all streams. If 1,26,136 students were enrolled in
Science and Commerce stream together, then find the
number of students enrolled in Arts stream in that
session.
A. 28,540
B. 45,017
C. 65,017
D. 35,017
44. Three boys steps off together from the same spot. Their
steps measures 63 cm, 70 cm and 77 cm respectively.
What is the minimum distance each should cover so that
all can cover distance in complete steps?
A. 6930 cm
B. 6000 cm
C. 7000 cm
D. 6520 cm
45. To make a specific dress, a cloth of length
4 m 25 cm is needed. Find the total length of cloth
required to make 3 such dresses.
A. 12.75 m
B. 13.75 m
C. 16.25 m
D. 19.25 m
46. Fill in the blanks and select the correct option.
•  Area of a digital rectangular board whose length
is   P   m and width is 13 m, is 182 sq. m.
•  Sam has to cover the floor of his room by square
tiles of side 2 m each. If the length of the floor
is 10 m and width is 8 m, then   Q   tiles will
completely cover the floor of the room.
•  A square and a rectangle has same perimeter.
Length of rectangle is   R   m, if its breadth is
11 m and side of square is 14.5 m.
P  Q  R
A. 12 16 15
B. 14 20 18
C. 16 12 15
D. 14 18 14
```

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